Aaron Kennard provided the first entry I list below here. I am willing to post times from two routes here - one starting at Bear Canyon's entrance off the Mesa and the other actually starting at the Ranger Cottage at Chautauqua.
Aaron's initial entry states: The route I clocked today was from the sign posts at the start of the bear canyon single track at the junction of the mesa trail and the bear canyon trail. I stopped the clock at the summit marker. I started at chataqua and warmed up for the first 3 miles across mesa over to bear canyon. Stats for the ascent route: 3.01 miles – 1842′ vertical – 950′ vertical for the first 2 miles – 890′ for the last mile.
Shorter route
Jason Schlarb 38:47 (from comments on 04-23-11)
Jay - 39:03 (from comments on 113011)

